The heights of 18 year old men are approximately normally distributed with mean 68 inches and a SD of 3 inches.
A. What is the probability that an 18 year old selected at random is between 67 and 69 inches tall?
B. If a random sample of 9 18 year olds men is selected, what is the probability the the mean hight x is between 67 and 69 inches?
C. Compare answers for part A and B. Is the probability in part B much higher? Why would you expect this?
Please see attached file.
Thus the probability the mean height x is between 67 and 69 inches is 0.6826 or 68.26%
So the probability ...
This solution calculates probability given different scenarios.